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Simplifying 3(1 + -2r) + 1 = -7r + 12 (1 * 3 + -2r * 3) + 1 = -7r + 12 (3 + -6r) + 1 = -7r + 12 Reorder the terms: 3 + 1 + -6r = -7r + 12 Combine like terms: 3 + 1 = 4 4 + -6r = -7r + 12 Reorder the terms: 4 + -6r = 12 + -7r Solving 4 + -6r = 12 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. 4 + -6r + 7r = 12 + -7r + 7r Combine like terms: -6r + 7r = 1r 4 + 1r = 12 + -7r + 7r Combine like terms: -7r + 7r = 0 4 + 1r = 12 + 0 4 + 1r = 12 Add '-4' to each side of the equation. 4 + -4 + 1r = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 1r = 12 + -4 1r = 12 + -4 Combine like terms: 12 + -4 = 8 1r = 8 Divide each side by '1'. r = 8 Simplifying r = 8
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